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Finding the Third Proportional to 900,998.44 and 1,916,449.88

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Solution

The third proportional to 900,998.44 and 1,916,449.88 is: 4,076,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,998.44 : 1,916,449.88 = 1,916,449.88 : x
  2. Step 2: Convert to fraction form
    900,998.44/1,916,449.88 = 1,916,449.88/x
  3. Step 3: Cross multiply
    900,998.44x = 1,916,449.88 × 1,916,449.88
  4. Step 4: Simplify right side
    900,998.44x = 3,672,780,123,387.52
  5. Step 5: Solve for x
    x = 3,672,780,123,387.52/900,998.44
  6. Step 6: Final answer
    x = 4,076,344.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.